{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,3]],"date-time":"2023-09-03T09:11:34Z","timestamp":1693732294892},"reference-count":4,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2008,10,30]],"date-time":"2008-10-30T00:00:00Z","timestamp":1225324800000},"content-version":"vor","delay-in-days":334,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc Appl Math and Mech"],"published-print":{"date-parts":[[2007,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We present a new deterministic dynamical model on the market size of Cournot competitions, based on Nash equilibria of R&amp;D investment strategies to increase the size of the market of the firms at every period of the game. We compute the unique Nash equilibrium for the second subgame and the profit functions for both firms. Adding uncertainty to the R&amp;D investment strategies, we get a new stochastic dynamical model and we analyse the importance of the uncertainty to reverse the initial advantage of one firm with respect to the other. (\u00a9 2008 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/pamm.200700634","type":"journal-article","created":{"date-parts":[[2008,10,30]],"date-time":"2008-10-30T07:34:31Z","timestamp":1225352071000},"page":"1041303-1041304","source":"Crossref","is-referenced-by-count":0,"title":["Cournot model with investments to change the market size"],"prefix":"10.1002","volume":"7","author":[{"given":"Alberto A.","family":"Pinto","sequence":"first","affiliation":[]},{"given":"Fernanda A.","family":"Ferreira","sequence":"additional","affiliation":[]},{"given":"Miguel","family":"Ferreira","sequence":"additional","affiliation":[]},{"given":"Bruno M.P.M.","family":"Oliveira","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2008,10,30]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"1133","article-title":"Cooperative and noncooperative R&D in duopoly with spillovers","volume":"78","author":"d'Aspremond C.","year":"1988","journal-title":"American Economic Review"},{"key":"e_1_2_1_3_2","unstructured":"A.Cournot Researches into the Mathematical Principles of the Theory of Wealth Edited by N. Bacon (Macmillan New York 1897)."},{"key":"e_1_2_1_4_2","unstructured":"A. A.Pinto B.Oliveira F. A.FerreiraandF.Ferreira Stochasticity favoring the effects of the R&D strategies of the firms in: Intelligent Engineering Systems and Computational Cybernetics edited by J. A. Machado et al. (Springer Verlag Dordrecht In press)."},{"key":"e_1_2_1_5_2","unstructured":"A. A.Pinto B.Oliveira F. A.FerreiraandM.Ferreira Investing to survive in a duopoly model in: Intelligent Engineering Systems and Computational Cybernetics edited by J. A. Machado et al. (Springer Verlag Dordrecht In press)."}],"container-title":["PAMM"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fpamm.200700634","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/pamm.200700634","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,2]],"date-time":"2023-09-02T23:23:16Z","timestamp":1693696996000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/pamm.200700634"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,12]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,12]]}},"alternative-id":["10.1002\/pamm.200700634"],"URL":"https:\/\/doi.org\/10.1002\/pamm.200700634","archive":["Portico"],"relation":{},"ISSN":["1617-7061","1617-7061"],"issn-type":[{"value":"1617-7061","type":"print"},{"value":"1617-7061","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,12]]}}}